Petrushko Igor Meletievich

Publications in Math-Net.Ru

1. On the first mixed problem for degenerate parabolic equations in stellar domains with Lyapunov boundary in Banach spaces
   
   Mathematical notes of NEFU, 30:1 (2023),  21–39
2. On the mixed problem $E$ for second-order parabolic equations degenerating on the boundary of a domain
   
   Mathematical notes of NEFU, 26:3 (2019),  57–70
3. On the first mixed problem in banach spaces for the degenerate parabolic equations with changing time direction
   
   Mathematical notes of NEFU, 25:4 (2018),  45–59
4. On the basics of common theory for coordination polyhedron composition (polyhedron fundamental equations)
   
   Mathematical notes of NEFU, 24:3 (2017),  3–11
5. On the first problem for the degenerate parabolic equations with changing time direction
   
   Mathematical notes of NEFU, 23:1 (2016),  67–78
6. Existence of boundary values for solutions of degenerate elliptic equations
   
   Mat. Sb., 190:7 (1999),  41–72
7. Boundary values of solutions of second-order parabolic equations that are degenerate on the boundary of the domain
   
   Dokl. Akad. Nauk SSSR, 316:3 (1991),  550–553
8. On boundary values of solutions of elliptic equations degenerating on the boundary
   
   Mat. Sb. (N.S.), 136(178):2(6) (1988),  241–259
9. Boundary values of solutions of second-order elliptic equations that are degenerate on the boundary of the domain
   
   Dokl. Akad. Nauk SSSR, 284:5 (1985),  1069–1073
10. On boundary and initial conditions in $\mathscr L_p$, $p>1$, of solutions of parabolic equations
    
    Mat. Sb. (N.S.), 125(167):4(12) (1984),  489–521
11. On boundary values in $\mathscr L_p$, $p>1$, of solutions of elliptic equations in domains with a Lyapunov boundary
    
    Mat. Sb. (N.S.), 120(162):4 (1983),  569–588
12. On boundary and initial values in $\mathcal{L}_p$, $p>1$, of solutions of second order parabolic equations
    
    Dokl. Akad. Nauk SSSR, 267:5 (1982),  1063–1066
13. On boundary and initial values of solutions of second order parabolic equations
    
    Dokl. Akad. Nauk SSSR, 266:3 (1982),  557–560
14. On boundary values of solutions of elliptic equations in domains with Lyapunov boundary
    
    Mat. Sb. (N.S.), 119(161):1(9) (1982),  48–77
15. On boundary values in $\mathcal{L}_p$ , $p>1$ of solutions of parabolic equations
    
    Dokl. Akad. Nauk SSSR, 251:5 (1980),  1067–1069
16. On the first mixed problem for parabolic equations of second order
    
    Dokl. Akad. Nauk SSSR, 248:2 (1979),  294–298
17. On the boundary and initial values of solutions of parabolic equations
    
    Mat. Sb. (N.S.), 106(148):3(7) (1978),  409–439
18. On the boundary values of solutions of parabolic equations
    
    Mat. Sb. (N.S.), 103(145):3(7) (1977),  404–429
19. The Fredholmicity of certain boundary value problems for the equation $u_{xx}+yu_{yy}+\alpha(x,y)u_y+\beta(x,y)u_x+\gamma(x,y)u=f(x,y)$ in a mixed domain
    
    Differ. Uravn., 4:1 (1968),  123–135
20. Boundary value problems for equations of mixed type
    
    Trudy Mat. Inst. Steklov., 103 (1968),  181–200
21. Nonuniqueness of the Cauchy problem for a parabolic equation
    
    Trudy Mat. Inst. Steklov., 91 (1967),  132–145